Free Grade 3 Introducing Area of Circles Worksheets
Free Grade 3 worksheets for Introducing Area of Circles: 12 real questions with a full answer key and worked solutions. Perimeter is the distance around a shape; area is the space inside. Rectangle area = length × width; triangle = ½ × base × height; circle = πr².
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20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing area of circles
Explain introducing area of circles accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing area of circles
Calculate introducing area of circles accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing area of circles
Compare introducing area of circles accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing area of circles
Justify introducing area of circles accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Introducing Area of Circles works
Perimeter is the distance around a shape; area is the space inside. Rectangle area = length × width; triangle = ½ × base × height; circle = πr².
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.A rectangle is 15 cm by 7 cm. Find its perimeter and area.[1]
- 2.A rectangle is 10 cm by 8 cm. Find its perimeter and area.[1]
- 3.A rectangle is 11 cm by 7 cm. Find its perimeter and area.[1]
- 4.A rectangle is 9 cm by 8 cm. Find its perimeter and area.[1]
- 5.A triangle has base 26 cm and height 12 cm. Find its area.[2]
- 6.A triangle has base 18 cm and height 13 cm. Find its area.[2]
- 7.A triangle has base 22 cm and height 9 cm. Find its area.[2]
- 8.A triangle has base 14 cm and height 9 cm. Find its area.[2]
- 9.Find the area and circumference of a circle with radius 7 cm (to 1 d.p.).[3]
- 10.Find the area and circumference of a circle with radius 5 cm (to 1 d.p.).[3]
- 11.Find the area and circumference of a circle with radius 12 cm (to 1 d.p.).[3]
- 12.Find the area and circumference of a circle with radius 8 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 44 cm, area 105 cm²
Perimeter = 15 + 7 + 15 + 7 = 44 cm. Area = 15 × 7 = 105 cm².
2. Perimeter 36 cm, area 80 cm²
Perimeter = 10 + 8 + 10 + 8 = 36 cm. Area = 10 × 8 = 80 cm².
3. Perimeter 36 cm, area 77 cm²
Perimeter = 11 + 7 + 11 + 7 = 36 cm. Area = 11 × 7 = 77 cm².
4. Perimeter 34 cm, area 72 cm²
Perimeter = 9 + 8 + 9 + 8 = 34 cm. Area = 9 × 8 = 72 cm².
5. 156 cm²
Area = ½ × base × height. ½ × 26 × 12 = 156 cm².
6. 117 cm²
Area = ½ × base × height. ½ × 18 × 13 = 117 cm².
7. 99 cm²
Area = ½ × base × height. ½ × 22 × 9 = 99 cm².
8. 63 cm²
Area = ½ × base × height. ½ × 14 × 9 = 63 cm².
9. Area 153.9 cm², circumference 44 cm
Area = πr² = π × 7² = 153.9 cm². Circumference = 2πr = 2 × π × 7 = 44 cm.
10. Area 78.5 cm², circumference 31.4 cm
Area = πr² = π × 5² = 78.5 cm². Circumference = 2πr = 2 × π × 5 = 31.4 cm.
11. Area 452.4 cm², circumference 75.4 cm
Area = πr² = π × 12² = 452.4 cm². Circumference = 2πr = 2 × π × 12 = 75.4 cm.
12. Area 201.1 cm², circumference 50.3 cm
Area = πr² = π × 8² = 201.1 cm². Circumference = 2πr = 2 × π × 8 = 50.3 cm.
Worked examples
A rectangle is 12 cm by 8 cm. Find its perimeter and area.
- Perimeter = 12 + 8 + 12 + 8 = 40 cm.
- Area = 12 × 8 = 96 cm².
- Answer: Perimeter 40 cm, area 96 cm²
A triangle has base 16 cm and height 9 cm. Find its area.
- Area = ½ × base × height.
- ½ × 16 × 9 = 72 cm².
- Answer: 72 cm²
Find the area and circumference of a circle with radius 11 cm (to 1 d.p.).
- Area = πr² = π × 11² = 380.1 cm².
- Circumference = 2πr = 2 × π × 11 = 69.1 cm.
- Answer: Area 380.1 cm², circumference 69.1 cm
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Mixes up area and perimeter.
Correction: Perimeter is a fence (around), area is grass (inside).
Uses the slanted side as the height of a triangle.
Correction: Height must be at right angles to the base.
Teacher tips
- · Draw shapes on squared paper and count squares first.
Parent tips
- · Measure a room and work out how much carpet you'd need.
Real-life applications
- · Carpeting a room, fencing a garden.
Assessment objectives
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Frequently asked
- Is this Grade 3 Introducing Area of Circles worksheet really free?
- Yes. Every worksheets on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Area of Triangles. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Introducing Area of Circles?
- Move on to Working with Area of Circles, Area of Circles in Context, Perimeter of Rectangles, Area of Rectangles, which build directly on this idea.
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